Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles
Bolte, Jens ; Keppeler, Stefan
arXiv, 9805041 / Harvested from arXiv
Text on arXiv
We investigate the Dirac equation in the semiclassical limit \hbar --> 0. A semiclassical propagator and a trace formula are derived and are shown to be determined by the classical orbits of a relativistic point particle. In addition, two phase factors enter, one of which can be calculated from the Thomas precession of a classical spin transported along the particle orbits. For the second factor we provide an interpretation in terms of dynamical and geometric phases.
Publié le : 1998-05-14
Classification:  Quantum Physics,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics 
@article{9805041,
     author = {Bolte, Jens and Keppeler, Stefan},
     title = {Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2
  Particles},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805041}
}

Bolte, Jens; Keppeler, Stefan. Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2
  Particles. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805041/